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Finding the Fourth Proportional to 10,471.80, 14,449.34 and 6,939.80

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Solution

The fourth proportional to 10,471.80, 14,449.34 and 6,939.80 is: 9,575.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.80 : 14,449.34 = 6,939.80 : x
  2. Step 2: Convert to fraction form
    10,471.80/14,449.34 = 6,939.80/x
  3. Step 3: Cross multiply
    10,471.80x = 14,449.34 × 6,939.80
  4. Step 4: Simplify right side
    10,471.80x = 100,275,529.73
  5. Step 5: Solve for x
    x = 100,275,529.73/10,471.80
  6. Step 6: Final answer
    x = 9,575.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.